Quiz — 1492075284879_exercice_3.pdf

Question 1 sur 10 20:00

[{"id":31650,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = 12","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés et en soustrayant 5, on obtient x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = -12\", \"b\": \"x = 12\", \"c\": \"x = -2\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":31651,"question":"Le développement de (2x - 3)(x + 4) donne :","option_a":"2x² + 5x - 12","option_b":"2x² - 5x - 12","option_c":"2x² + 5x + 12","option_d":"2x² - 5x + 12","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le développement donne 2x² + 8x - 3x - 12 = 2x² + 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"2x² + 5x - 12\", \"b\": \"2x² - 5x - 12\", \"c\": \"2x² + 5x + 12\", \"d","_debug_options_count":4},{"id":31652,"question":"Vrai ou Faux : La factorisation de x² - 9 est (x - 3)(x + 3).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une identité remarquable : x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31653,"question":"Quelle est la valeur de l'expression -3 × (-4) + 2 ?","option_a":"-10","option_b":"14","option_c":"-14","option_d":"10","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le produit de deux nombres négatifs est positif : -3 × (-4) = 12. Puis 12 + 2 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"-10\", \"b\": \"14\", \"c\": \"-14\", \"d\": \"10\"}}","_debug_options_count":4},{"id":31654,"question":"La factorisation de 5x + 10 est :","option_a":"5(x + 2)","option_b":"x(5 + 10)","option_c":"5x + 10","option_d":"10(0.5x + 1)","option_e":"","option_f":"","bonne_reponse":"a","explication":"On factorise par le PGCD des coefficients : 5x + 10 = 5(x + 2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5(x + 2)\", \"b\": \"x(5 + 10)\", \"c\": \"5x + 10\", \"d\": \"10(0.5x + 1)\"}","_debug_options_count":4},{"id":31655,"question":"Vrai ou Faux : L'équation 2x = 0 a pour solution x = 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La solution est x = 0, car 2 × 0 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31656,"question":"Quel est le résultat de (3x - 2)² ?","option_a":"9x² - 12x + 4","option_b":"9x² + 12x + 4","option_c":"9x² - 4","option_d":"3x² - 4x + 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le carré d'une différence donne : (3x)² - 2×3x×2 + 2² = 9x² - 12x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"9x² - 12x + 4\", \"b\": \"9x² + 12x + 4\", \"c\": \"9x² - 4\", \"d\": \"3x","_debug_options_count":4},{"id":31657,"question":"Si x = -2, quelle est la valeur de 4x + 7 ?","option_a":"-1","option_b":"15","option_c":"-15","option_d":"1","option_e":"","option_f":"","bonne_reponse":"c","explication":"En remplaçant x par -2 : 4 × (-2) + 7 = -8 + 7 = -1. La bonne réponse est -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"-1\", \"b\": \"15\", \"c\": \"-15\", \"d\": \"1\"}}","_debug_options_count":4},{"id":31658,"question":"Vrai ou Faux : La somme de deux nombres opposés est toujours nulle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, a + (-a) = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":31659,"question":"Quelle est la solution de l'équation x\/3 = -5 ?","option_a":"x = -15","option_b":"x = 15","option_c":"x = -5\/3","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En multipliant les deux côtés par 3, on obtient x = -15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = -15\", \"b\": \"x = 15\", \"c\": \"x = -5\/3\", \"d\": \"x = 5\/3\"}}","_debug_options_count":4}]